Least Common Multiple of 78/331, 39/812, 821/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/331, 39/812, 821/575 quickly i.e. 64038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/331, 39/812, 821/575 is 64038.

LCM(78/331, 39/812, 821/575) = 64038

LCM of 78/331, 39/812, 821/575

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 78/331,39/812,821/575

Given numbers are 78/331,39/812,821/575

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 78,39,821

Least Common Multiple of Numerators i.e. LCM of 78,39,821 is 64038.

GCF of Denominators means GCF of 331,812,575 as per the given fractions.

GCF of 331,812,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,39,821

LCM of Fractions 78/331,39/812,821/575 is 64038

3 78, 39, 821
13 26, 13, 821
2, 1, 821

∴ So the LCM of the given numbers is 3 x 13 x 2 x 1 x 821 = 64038

Least Common Multiple of 78,39,821 with GCF Formula

Least Common Multiple of 78,39,821 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,39,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,39,821) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(78,39,821) x common factors =1 x 39 = 39

LCM(78,39,821) = ( 78 × 39 × 821 ) / 39

LCM(78,39,821) = 2497482 / 39

LCM(78,39,821) = 64038


Lets's calculate GCF of 331,812,575

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64038/1

Therefore the LCM of Fractions 78/331,39/812,821/575 is 64038

Greatest Common Factor of 331,812,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,812,575 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 331,812,575 . The biggest common factor number is the GCF number.
So the greatest common factor 331,812,575 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 78/331, 39/812, 821/575

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 78/331, 39/812, 821/575?

Answer: LCM of Numerators as per given numbers 78/331, 39/812, 821/575 is

LCM of Numerators i.e. for 78,39,821 is 64038

GCF of denominators i.e. for 331,812,575 is 1.

Thus, LCM of Fractions is 64038.Finally, LCM of Fractions for 78/331, 39/812, 821/575 is 64038.